# R. Tyrrell Rockafellar

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Ralph Tyrrell Rockafellar
R. Tyrrell ("Terry") Rockafellar in 1977
Born February 10, 1935 (age 83)
Milwaukee, Wisconsin
Residence Washington, U.S.
Nationality American
Alma mater Harvard University
Known for Convex analysis
Monotone operator
Calculus of variation
Stochastic programming
Oriented matroid
Awards Dantzig Prize of SIAM and MPS 1982
von Neumann citation of SIAM 1992
Frederick W. Lanchester Prize of INFORMS 1997-1998
John von Neumann Theory Prize of INFORMS 1999
Doctor Honoris Causa:
Groningen, Montpellier, Chile, Alicante
Scientific career
Fields Mathematical optimization
Institutions University of Washington 1966-
University of Texas, Austin 1963–1965
Thesis Convex Functions and Dual Extremum Problems (1963)
Notable students Peter Wolenski
Francis Clarke
Influences Albert W. Tucker
Werner Fenchel
Roger J-B Wets
Influenced Roger J-B Wets

Ralph Tyrrell Rockafellar (born February 10, 1935) is an American mathematician and one of the leading scholars in optimization theory and related fields of analysis and combinatorics. He is professor emeritus at the departments of mathematics and applied mathematics at the University of Washington, Seattle. He was born in Milwaukee, Wisconsin.[1]

## Prizes

Rockafellar received the John von Neumann Theory Prize from the Institute for Operations Research and Management Science and delivered the 1993 John von Neumann Lecture for the Society for Industrial and Applied Mathematics (SIAM).

Rockafellar and his coauthor Roger J-B Wets were awarded the Frederick W. Lanchester Prize for 1997 by Institute for Operations Research and the Management Sciences (INFORMS).

The Institute for Scientific Information (ISI) lists Rockafellar as a highly cited researcher.[2]

## Selected publications

### Books

• Rockafellar, R. Tyrrell (1997). Convex analysis. Princeton landmarks in mathematics (Reprint of the 1979 Princeton mathematical series 28 ed.). Princeton, NJ: Princeton University Press. pp. xviii+451. ISBN 0-691-01586-4. MR 1451876.
• Rockafellar, R. Tyrrell. Conjugate duality and optimization. Lectures given at the Johns Hopkins University, Baltimore, Md., June, 1973. Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 16. Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1974. vi+74 pp.
• Rockafellar, Ralph T. The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. Heldermann Verlag, Berlin, 1981. vii+107 pp. ISBN 3-88538-201-6
• R. T. Rockafellar. 1984. Network Flows and Monotropic Optimization. Wiley.
• Rockafellar, R. Tyrrell; Wets, Roger J-B (2005) [1996]. Variational analysis (PDF). Grundlehren der mathematischen Wissenschaften (Fundamental Principles of Mathematical Sciences). 317 (third corrected printing ed.). Berlin: Springer-Verlag. pp. xiv+733. doi:10.1007/978-3-642-02431-3. ISBN 978-3-540-62772-2. MR 1491362. Retrieved 12 March 2012.
• Dontchev, Asen L. and Rockafellar, R. Tyrrell. Implicit functions and solution mappings. A view from variational analysis. Springer Monographs in Mathematics. Springer, Dordrecht, 2009. xii+375 pp. ISBN 978-0-387-87820-1.

### Papers

• Rockafellar, R. T. (1970). "On the maximal monotonicity of subdifferential mappings". Pacific J. Math. 33: 209–216. doi:10.2140/pjm.1970.33.209.
• Rockafellar, R. T. (1973). "The multiplier method of Hestenes and Powell applied to convex programming". J. Optimization Theory Appl. 12: 555–562. doi:10.1007/bf00934777.
• Rockafellar, R. T. (1974). "Augmented Lagrange multiplier functions and duality in nonconvex programming". SIAM J. Control. 12: 268–285. doi:10.1137/0312021.
• Rockafellar, R. T. (1976). "Augmented Lagrangians and applications of the proximal point algorithm in convex programming". Math. Oper. Res. 1 (2): 97–116. doi:10.1287/moor.1.2.97.
• Rockafellar, R. T. (1993). "Lagrange multipliers and optimality". SIAM Rev. 35 (2): 183–238. doi:10.1137/1035044. (1992 John von Neumann Lecture)
• Rockafellar, R. T. (1969). "The Elementary Vectors of a Subspace of ${\displaystyle R^{N}}$" (1967)". In R. C. Bose and T. A. Dowling. Combinatorial Mathematics and its Applications (PDF). The University of North Carolina Monograph Series in Probability and Statistics. Chapel Hill, North Carolina: University of North Carolina Press. pp. 104–127. MR 0278972.
• Rockafellar, R. T.; Wets, Roger J.-B. (1991). "Scenarios and policy aggregation in optimization under uncertainty". Math. Oper. Res. 16 (1): 119–147. doi:10.1287/moor.16.1.119.
• Rockafellar, R. Tyrrell Monotone processes of convex and concave type. Memoirs of the American Mathematical Society, No. 77 American Mathematical Society, Providence, R.I. 1967 i+74 pp.